Class 7 Maths Fractions and Decimals Comparing Fractions

Comparing Fractions

Comparing Like Fractions

In like fractions, the denominators are the same. So, only numerators are compared.

The one with bigger numerator is the bigger fractions.

For e.g. ¾>1/4

Comparing Unlike Fractions

In unlike fractions, denominators are different.

Firstly, we try and make the denominators same.

This is done by converting fractions into equivalent fractions. To do this, the LCM of different denominators.

Each fraction is converted into a form such that the LCM as the common denominator of both the fractions.

Comparison of the like fractions obtained can be done by comparing the numerators.

For e.g.

1/3 and 2/4

LCM of 3 and 4 = 12

Multiply Numerator and denominator of 1/3 by 4 such that the equivalent fraction has 12 in the denominator

1*4/3* 4 = 4/12

Multiply Numerator and denominator of 2/4 by 3 such that the equivalent fraction has 12 in the denominator

2*3/4* 3 = 6/12

Since the denominators are the same, comparing the numerators we get :

4/12 < 6/12

Therefore, 1/3 < 2/4

Problem: Compare the fractions  a) 3/b and 5/6     b) 1/7 and 1/4

Solution

3/6 and 5/6 are like fractions because they have common denominators.

5 is greated than 3, so 5/6 is greater than 3/6

1/7 and ¼ are unlike fractions.

Firstly, we try and make the denominators same.

This is done by converting fractions into equivalent fractions. To do this, the LCM of different denominators.

The LCM of 7 and 4 is 28. We get :

1*4/7*4 and 1*7/4*7

4/28 and 7/28

These are like fractions now. Comparing the numerators, we get:

4/28<7/28.

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